/*
	normalmap GIMP plugin

	Copyright (C) 2002 Shawn Kirst <skirst@fuse.net>

	This program is free software; you can redistribute it and/or
	modify it under the terms of the GNU General Public
	License as published by the Free Software Foundation; either
	version 2 of the License, or (at your option) any later version.

	This program is distributed in the hope that it will be useful,
	but WITHOUT ANY WARRANTY; without even the implied warranty of
	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
	General Public License for more details.

	You should have received a copy of the GNU General Public License
	along with this program; see the file COPYING.  If not, write to
	the Free Software Foundation, Inc., 59 Temple Place - Suite 330,
	Boston, MA 02111-1307, USA.
*/

#ifndef __SPHERE_H
#define __SPHERE_H

#define SPHERE_NUM_VERTS 559
static float sphere_verts[SPHERE_NUM_VERTS * 16] =
{
   0.000000, -1.000000, 0.000000, 1.000000, 0.000000, 1.000000, 0.998660, -0.000640, -0.051747, 0.000000, -0.097775, -0.995209, 0.000000, -1.000000, 0.000000, 0.000000,
   0.000000, -0.980880, 0.194613, 1.000000, 0.000000, 0.937500, 0.997150, -0.000352, -0.075446, -0.062832, -0.227705, -0.971701, 0.000000, -0.980880, 0.194613, 0.000000,
   0.037518, -0.980928, 0.190714, 1.000000, 0.031250, 0.937500, 0.987661, -0.000249, -0.156607, -0.142674, -0.195392, -0.970292, 0.037518, -0.980928, 0.190714, 0.000000,
   0.000000, 1.000000, 0.000000, 1.000000, 0.000000, 0.000000, 0.998660, 0.000640, -0.051747, 0.000000, -0.097775, 0.995209, 0.000000, 1.000000, 0.000000, 0.000000,
   0.037518, 0.980928, 0.190714, 1.000000, 0.031250, 0.062500, 0.987661, 0.000249, -0.156607, 0.142674, -0.195392, 0.970292, 0.037518, 0.980928, 0.190714, 0.000000,
   0.000000, 0.980880, 0.194613, 1.000000, 0.000000, 0.062500, 0.997150, 0.000352, -0.075446, 0.062832, -0.227705, 0.971701, 0.000000, 0.980880, 0.194613, 0.000000,
   0.000000, -1.000000, 0.000000, 1.000000, 0.031250, 1.000000, 0.989532, 0.000334, -0.144311, -0.192099, -0.097652, -0.976505, 0.000000, -1.000000, 0.000000, 0.000000,
   0.074252, -0.980903, 0.179767, 1.000000, 0.062500, 0.937500, 0.944240, 0.000232, -0.329258, -0.341826, -0.228757, -0.911496, 0.074252, -0.980903, 0.179767, 0.000000,
   0.000000, 1.000000, 0.000000, 1.000000, 0.031250, 0.000000, 0.989532, -0.000334, -0.144311, 0.192099, -0.097652, 0.976505, 0.000000, 1.000000, 0.000000, 0.000000,
   0.074252, 0.980903, 0.179767, 1.000000, 0.062500, 0.062500, 0.944240, -0.000232, -0.329258, 0.341826, -0.228757, 0.911496, 0.074252, 0.980903, 0.179767, 0.000000,
   0.000000, -1.000000, 0.000000, 1.000000, 0.062500, 1.000000, 0.970002, -0.000130, -0.243097, -0.379933, -0.097716, -0.919838, 0.000000, -1.000000, 0.000000, 0.000000,
   0.107861, -0.980913, 0.161792, 1.000000, 0.093750, 0.937500, 0.890178, 0.000087, -0.455614, -0.503561, -0.195460, -0.841559, 0.107861, -0.980913, 0.161792, 0.000000,
   0.000000, 1.000000, 0.000000, 1.000000, 0.062500, 0.000000, 0.970002, 0.000130, -0.243097, 0.379933, -0.097716, 0.919838, 0.000000, 1.000000, 0.000000, 0.000000,
   0.107861, 0.980913, 0.161792, 1.000000, 0.093750, 0.062500, 0.890178, -0.000087, -0.455614, 0.503561, -0.195460, 0.841559, 0.107861, 0.980913, 0.161792, 0.000000,
   0.000000, -1.000000, 0.000000, 1.000000, 0.093750, 1.000000, 0.942021, 0.000246, -0.335554, -0.552047, -0.097692, -0.828070, 0.000000, -1.000000, 0.000000, 0.000000,
   0.137560, -0.980895, 0.137560, 1.000000, 0.125000, 0.937500, 0.777638, 0.000000, -0.628713, -0.664659, -0.228781, -0.711258, 0.137560, -0.980895, 0.137560, 0.000000,
   0.000000, 1.000000, 0.000000, 1.000000, 0.093750, 0.000000, 0.942021, -0.000246, -0.335554, 0.552047, -0.097692, 0.828070, 0.000000, 1.000000, 0.000000, 0.000000,
   0.137560, 0.980895, 0.137560, 1.000000, 0.125000, 0.062500, 0.777638, 0.000000, -0.628713, 0.664659, -0.228781, 0.711258, 0.137560, 0.980895, 0.137560, 0.000000,
   0.000000, -1.000000, 0.000000, 1.000000, 0.125000, 1.000000, 0.903382, -0.000256, -0.428837, -0.703721, -0.097737, -0.703721, 0.000000, -1.000000, 0.000000, 0.000000,
   0.161792, -0.980913, 0.107861, 1.000000, 0.156250, 0.937500, 0.695562, -0.000092, -0.718466, -0.787019, -0.195451, -0.585149, 0.161792, -0.980913, 0.107861, 0.000000,
   0.000000, 1.000000, 0.000000, 1.000000, 0.125000, 0.000000, 0.903382, 0.000256, -0.428837, 0.703721, -0.097737, 0.703721, 0.000000, 1.000000, 0.000000, 0.000000,
   0.161792, 0.980913, 0.107861, 1.000000, 0.156250, 0.062500, 0.695562, 0.000092, -0.718466, 0.787019, -0.195451, 0.585149, 0.161792, 0.980913, 0.107861, 0.000000,
   0.000000, -1.000000, 0.000000, 1.000000, 0.156250, 1.000000, 0.857790, 0.000147, -0.514000, -0.828070, -0.097692, -0.552047, 0.000000, -1.000000, 0.000000, 0.000000,
   0.179767, -0.980903, 0.074252, 1.000000, 0.187500, 0.937500, 0.510065, -0.000249, -0.860136, -0.886351, -0.228743, -0.402565, 0.179767, -0.980903, 0.074252, 0.000000,
   0.000000, 1.000000, 0.000000, 1.000000, 0.156250, 0.000000, 0.857790, -0.000147, -0.514000, 0.828070, -0.097692, 0.552047, 0.000000, 1.000000, 0.000000, 0.000000,
   0.179767, 0.980903, 0.074252, 1.000000, 0.187500, 0.062500, 0.510065, 0.000249, -0.860136, 0.886351, -0.228743, 0.402565, 0.179767, 0.980903, 0.074252, 0.000000,
   0.000000, -1.000000, 0.000000, 1.000000, 0.187500, 1.000000, 0.801749, -0.000412, -0.597661, -0.919838, -0.097716, -0.379933, 0.000000, -1.000000, 0.000000, 0.000000,
   0.190714, -0.980928, 0.037518, 1.000000, 0.218750, 0.937500, 0.414279, 0.000288, -0.910150, -0.951298, -0.195379, -0.238452, 0.190714, -0.980928, 0.037518, 0.000000,
   0.000000, 1.000000, 0.000000, 1.000000, 0.187500, 0.000000, 0.801749, 0.000412, -0.597661, 0.919838, -0.097716, 0.379933, 0.000000, 1.000000, 0.000000, 0.000000,
   0.190714, 0.980928, 0.037518, 1.000000, 0.218750, 0.062500, 0.414279, -0.000288, -0.910150, 0.951298, -0.195379, 0.238452, 0.190714, 0.980928, 0.037518, 0.000000,
   0.000000, -1.000000, 0.000000, 1.000000, 0.218750, 1.000000, 0.742750, 0.000861, -0.669568, -0.976505, -0.097652, -0.192099, 0.000000, -1.000000, 0.000000, 0.000000,
   0.194613, -0.980880, 0.000000, 1.000000, 0.250000, 0.937500, 0.165214, 0.000000, -0.986258, -0.972952, -0.228718, -0.032431, 0.194613, -0.980880, 0.000000, 0.000000,
   0.000000, 1.000000, 0.000000, 1.000000, 0.218750, 0.000000, 0.742750, -0.000861, -0.669568, 0.976505, -0.097652, 0.192099, 0.000000, 1.000000, 0.000000, 0.000000,
   0.194613, 0.980880, 0.000000, 1.000000, 0.250000, 0.062500, 0.165214, 0.000000, -0.986258, 0.972952, -0.228718, 0.032431, 0.194613, 0.980880, 0.000000, 0.000000,
   0.000000, -1.000000, 0.000000, 1.000000, 0.250000, 1.000000, 0.669569, -0.000955, -0.742749, -0.995209, -0.097775, 0.000000, 0.000000, -1.000000, 0.000000, 0.000000,
   0.190714, -0.980928, -0.037518, 1.000000, 0.281250, 0.937500, 0.056767, -0.000316, -0.998387, -0.970292, -0.195392, 0.142674, 0.190714, -0.980928, -0.037518, 0.000000,
   0.000000, 1.000000, 0.000000, 1.000000, 0.250000, 0.000000, 0.669569, 0.000955, -0.742749, 0.995209, -0.097775, 0.000000, 0.000000, 1.000000, 0.000000, 0.000000,
   0.190714, 0.980928, -0.037518, 1.000000, 0.281250, 0.062500, 0.056767, 0.000316, -0.998387, 0.970292, -0.195392, -0.142674, 0.190714, 0.980928, -0.037518, 0.000000,
   0.000000, -1.000000, 0.000000, 1.000000, 0.281250, 1.000000, 0.597661, 0.000553, -0.801748, -0.976505, -0.097652, 0.192099, 0.000000, -1.000000, 0.000000, 0.000000,
   0.179767, -0.980903, -0.074252, 1.000000, 0.312500, 0.937500, -0.224818, 0.000282, -0.974401, -0.911496, -0.228757, 0.341826, 0.179767, -0.980903, -0.074252, 0.000000,
   0.000000, 1.000000, 0.000000, 1.000000, 0.281250, 0.000000, 0.597661, -0.000553, -0.801748, 0.976505, -0.097652, -0.192099, 0.000000, 1.000000, 0.000000, 0.000000,
   0.179767, 0.980903, -0.074252, 1.000000, 0.312500, 0.062500, -0.224818, -0.000282, -0.974401, 0.911496, -0.228757, -0.341826, 0.179767, 0.980903, -0.074252, 0.000000,
   0.000000, -1.000000, 0.000000, 1.000000, 0.312500, 1.000000, 0.514000, -0.000245, -0.857790, -0.919838, -0.097716, 0.379933, 0.000000, -1.000000, 0.000000, 0.000000,
   0.161792, -0.980913, -0.107861, 1.000000, 0.343750, 0.937500, -0.342444, 0.000120, -0.939538, -0.841559, -0.195460, 0.503561, 0.161792, -0.980913, -0.107861, 0.000000,
   0.000000, 1.000000, 0.000000, 1.000000, 0.312500, 0.000000, 0.514000, 0.000245, -0.857790, 0.919838, -0.097716, -0.379933, 0.000000, 1.000000, 0.000000, 0.000000,
   0.161792, 0.980913, -0.107861, 1.000000, 0.343750, 0.062500, -0.342444, -0.000120, -0.939538, 0.841559, -0.195460, -0.503561, 0.161792, 0.980913, -0.107861, 0.000000,
   0.000000, -1.000000, 0.000000, 1.000000, 0.343750, 1.000000, 0.428837, 0.000540, -0.903382, -0.828070, -0.097692, 0.552047, 0.000000, -1.000000, 0.000000, 0.000000,
   0.137560, -0.980895, -0.137560, 1.000000, 0.375000, 0.937500, -0.606658, 0.000000, -0.794963, -0.711258, -0.228781, 0.664659, 0.137560, -0.980895, -0.137560, 0.000000,
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   0.137560, 0.980895, -0.137560, 1.000000, 0.375000, 0.062500, -0.606658, 0.000000, -0.794963, 0.711258, -0.228781, -0.664659, 0.137560, 0.980895, -0.137560, 0.000000,
   0.000000, -1.000000, 0.000000, 1.000000, 0.375000, 1.000000, 0.335554, -0.000691, -0.942021, -0.703721, -0.097737, 0.703721, 0.000000, -1.000000, 0.000000, 0.000000,
   0.107861, -0.980913, -0.161792, 1.000000, 0.406250, 0.937500, -0.723429, -0.000132, -0.690398, -0.585149, -0.195451, 0.787019, 0.107861, -0.980913, -0.161792, 0.000000,
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   0.107861, 0.980913, -0.161792, 1.000000, 0.406250, 0.062500, -0.723429, 0.000132, -0.690398, 0.585149, -0.195451, -0.787019, 0.107861, 0.980913, -0.161792, 0.000000,
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   0.074252, -0.980903, -0.179767, 1.000000, 0.437500, 0.937500, -0.893362, -0.000316, -0.449338, -0.402565, -0.228743, 0.886351, 0.074252, -0.980903, -0.179767, 0.000000,
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   -0.544773, 0.831618, -0.107860, 1.000000, 0.718750, 0.187500, 0.055416, -0.001433, 0.998462, -0.815632, -0.555334, -0.162325, -0.544773, 0.831618, -0.107860, 0.000000,
   -0.555601, 0.831449, 0.000000, 1.000000, 0.750000, 0.187500, 0.124633, 0.000000, 0.992203, -0.829081, -0.559128, 0.000000, -0.555601, 0.831449, 0.000000, 0.000000,
   -0.544773, 0.831618, 0.107860, 1.000000, 0.781250, 0.187500, 0.415600, 0.001306, 0.909546, -0.815632, -0.555334, 0.162325, -0.544773, 0.831618, 0.107860, 0.000000,
   -0.512811, 0.831754, 0.212629, 1.000000, 0.812500, 0.187500, 0.481366, -0.000303, 0.876520, -0.766139, -0.559012, 0.317075, -0.512811, 0.831754, 0.212629, 0.000000,
   -0.461859, 0.831503, 0.308688, 1.000000, 0.843750, 0.187500, 0.696838, 0.000316, 0.717228, -0.691899, -0.555437, 0.461265, -0.461859, 0.831503, 0.308688, 0.000000,
   -0.392463, 0.831833, 0.392463, 1.000000, 0.875000, 0.187500, 0.762185, -0.000001, 0.647359, -0.586785, -0.559060, 0.585778, -0.392463, 0.831833, 0.392463, 0.000000,
   -0.308688, 0.831503, 0.461859, 1.000000, 0.906250, 0.187500, 0.889459, -0.000301, 0.457016, -0.461265, -0.555437, 0.691899, -0.308688, 0.831503, 0.461859, 0.000000,
   -0.212629, 0.831754, 0.512811, 1.000000, 0.937500, 0.187500, 0.939731, 0.000286, 0.341915, -0.317075, -0.559012, 0.766139, -0.212629, 0.831754, 0.512811, 0.000000,
   -0.107860, 0.831618, 0.544773, 1.000000, 0.968750, 0.187500, 0.987474, -0.001129, 0.157776, -0.162325, -0.555334, 0.815632, -0.107860, 0.831618, 0.544773, 0.000000,
   0.000000, 0.831449, 0.555601, 1.000000, 1.000000, 0.187500, 0.996880, -0.000797, 0.078930, -0.081434, -0.557271, 0.826328, 0.000000, 0.831449, 0.555601, 0.000000,
   0.000000, 0.924045, 0.382283, 1.000000, 0.000000, 0.125000, 0.997997, -0.000768, -0.063255, 0.000000, -0.382379, 0.924005, 0.000000, 0.924045, 0.382283, 0.000000,
   0.074261, 0.923960, 0.375212, 1.000000, 0.031250, 0.125000, 0.984830, 0.000253, -0.173522, 0.180153, -0.385519, 0.904942, 0.074261, 0.923960, 0.375212, 0.000000,
   0.146183, 0.924003, 0.353341, 1.000000, 0.062500, 0.125000, 0.951186, -0.000317, -0.308618, 0.354550, -0.382277, 0.853322, 0.146183, 0.924003, 0.353341, 0.000000,
   0.212607, 0.923901, 0.318128, 1.000000, 0.093750, 0.125000, 0.865098, -0.000077, -0.501603, 0.513120, -0.385536, 0.766857, 0.212607, 0.923901, 0.318128, 0.000000,
   0.270465, 0.923958, 0.270465, 1.000000, 0.125000, 0.125000, 0.804650, 0.000000, -0.593750, 0.653391, -0.382308, 0.653391, 0.270465, 0.923958, 0.270465, 0.000000,
   0.318128, 0.923901, 0.212607, 1.000000, 0.156250, 0.125000, 0.633356, 0.000079, -0.773861, 0.766857, -0.385536, 0.513120, 0.318128, 0.923901, 0.212607, 0.000000,
   0.353341, 0.924003, 0.146183, 1.000000, 0.187500, 0.125000, 0.564740, 0.000350, -0.825269, 0.853322, -0.382277, 0.354550, 0.353341, 0.924003, 0.146183, 0.000000,
   0.375212, 0.923960, 0.074261, 1.000000, 0.218750, 0.125000, 0.310647, -0.000275, -0.950525, 0.904942, -0.385519, 0.180153, 0.375212, 0.923960, 0.074261, 0.000000,
   0.382283, 0.924045, 0.000000, 1.000000, 0.250000, 0.125000, 0.243568, 0.000000, -0.969884, 0.924005, -0.382379, 0.000000, 0.382283, 0.924045, 0.000000, 0.000000,
   0.375212, 0.923960, -0.074261, 1.000000, 0.281250, 0.125000, -0.070524, 0.000289, -0.997510, 0.904942, -0.385519, -0.180153, 0.375212, 0.923960, -0.074261, 0.000000,
   0.353341, 0.924003, -0.146183, 1.000000, 0.312500, 0.125000, -0.139533, -0.000420, -0.990217, 0.853322, -0.382277, -0.354550, 0.353341, 0.924003, -0.146183, 0.000000,
   0.318128, 0.923901, -0.212607, 1.000000, 0.343750, 0.125000, -0.458805, -0.000091, -0.888537, 0.766857, -0.385536, -0.513120, 0.318128, 0.923901, -0.212607, 0.000000,
   0.270465, 0.923958, -0.270465, 1.000000, 0.375000, 0.125000, -0.541913, 0.000000, -0.840435, 0.653391, -0.382308, -0.653391, 0.270465, 0.923958, -0.270465, 0.000000,
   0.212607, 0.923901, -0.318128, 1.000000, 0.406250, 0.125000, -0.786158, 0.000094, -0.618026, 0.513120, -0.385536, -0.766857, 0.212607, 0.923901, -0.318128, 0.000000,
   0.146183, 0.924003, -0.353341, 1.000000, 0.437500, 0.125000, -0.870070, 0.000507, -0.492929, 0.354550, -0.382277, -0.853322, 0.146183, 0.924003, -0.353341, 0.000000,
   0.074261, 0.923960, -0.375212, 1.000000, 0.468750, 0.125000, -0.974990, -0.000324, -0.222248, 0.180153, -0.385519, -0.904942, 0.074261, 0.923960, -0.375212, 0.000000,
   0.000000, 0.924045, -0.382283, 1.000000, 0.500000, 0.125000, -1.000000, 0.000000, 0.000000, 0.000000, -0.382379, -0.924005, 0.000000, 0.924045, -0.382283, 0.000000,
   -0.074261, 0.923960, -0.375212, 1.000000, 0.531250, 0.125000, -0.974990, 0.000324, 0.222248, -0.180153, -0.385519, -0.904942, -0.074261, 0.923960, -0.375212, 0.000000,
   -0.146183, 0.924003, -0.353341, 1.000000, 0.562500, 0.125000, -0.870070, -0.000507, 0.492929, -0.354550, -0.382277, -0.853322, -0.146183, 0.924003, -0.353341, 0.000000,
   -0.212607, 0.923901, -0.318128, 1.000000, 0.593750, 0.125000, -0.786158, -0.000094, 0.618026, -0.513120, -0.385536, -0.766857, -0.212607, 0.923901, -0.318128, 0.000000,
   -0.270465, 0.923958, -0.270465, 1.000000, 0.625000, 0.125000, -0.541913, 0.000000, 0.840435, -0.653391, -0.382308, -0.653391, -0.270465, 0.923958, -0.270465, 0.000000,
   -0.318128, 0.923901, -0.212607, 1.000000, 0.656250, 0.125000, -0.458805, 0.000091, 0.888537, -0.766857, -0.385536, -0.513120, -0.318128, 0.923901, -0.212607, 0.000000,
   -0.353341, 0.924003, -0.146183, 1.000000, 0.687500, 0.125000, -0.139533, 0.000420, 0.990217, -0.853322, -0.382277, -0.354550, -0.353341, 0.924003, -0.146183, 0.000000,
   -0.375212, 0.923960, -0.074261, 1.000000, 0.718750, 0.125000, -0.070524, -0.000289, 0.997510, -0.904942, -0.385519, -0.180153, -0.375212, 0.923960, -0.074261, 0.000000,
   -0.382283, 0.924045, 0.000000, 1.000000, 0.750000, 0.125000, 0.243568, 0.000000, 0.969884, -0.924005, -0.382379, 0.000000, -0.382283, 0.924045, 0.000000, 0.000000,
   -0.375212, 0.923960, 0.074261, 1.000000, 0.781250, 0.125000, 0.310647, 0.000275, 0.950525, -0.904942, -0.385519, 0.180153, -0.375212, 0.923960, 0.074261, 0.000000,
   -0.353341, 0.924003, 0.146183, 1.000000, 0.812500, 0.125000, 0.564740, -0.000350, 0.825269, -0.853322, -0.382277, 0.354550, -0.353341, 0.924003, 0.146183, 0.000000,
   -0.318128, 0.923901, 0.212607, 1.000000, 0.843750, 0.125000, 0.633356, -0.000079, 0.773861, -0.766857, -0.385536, 0.513120, -0.318128, 0.923901, 0.212607, 0.000000,
   -0.270465, 0.923958, 0.270465, 1.000000, 0.875000, 0.125000, 0.804650, 0.000000, 0.593750, -0.653391, -0.382308, 0.653391, -0.270465, 0.923958, 0.270465, 0.000000,
   -0.212607, 0.923901, 0.318128, 1.000000, 0.906250, 0.125000, 0.865098, 0.000077, 0.501603, -0.513120, -0.385536, 0.766857, -0.212607, 0.923901, 0.318128, 0.000000,
   -0.146183, 0.924003, 0.353341, 1.000000, 0.937500, 0.125000, 0.951186, 0.000317, 0.308618, -0.354550, -0.382277, 0.853322, -0.146183, 0.924003, 0.353341, 0.000000,
   -0.074261, 0.923960, 0.375212, 1.000000, 0.968750, 0.125000, 0.984830, -0.000253, 0.173522, -0.180153, -0.385519, 0.904942, -0.074261, 0.923960, 0.375212, 0.000000,
   0.000000, 0.924045, 0.382283, 1.000000, 1.000000, 0.125000, 0.997997, 0.000768, 0.063255, 0.000000, -0.382379, 0.924005, 0.000000, 0.924045, 0.382283, 0.000000,
};

#define SPHERE_NUM_INDICES 2880
static unsigned short sphere_indices[SPHERE_NUM_INDICES] =
{
  0, 2, 1, 3, 5, 4, 6, 7, 
  2, 8, 4, 9, 10, 11, 7, 12, 
  9, 13, 14, 15, 11, 16, 13, 17, 
  18, 19, 15, 20, 17, 21, 22, 23, 
  19, 24, 21, 25, 26, 27, 23, 28, 
  25, 29, 30, 31, 27, 32, 29, 33, 
  34, 35, 31, 36, 33, 37, 38, 39, 
  35, 40, 37, 41, 42, 43, 39, 44, 
  41, 45, 46, 47, 43, 48, 45, 49, 
  50, 51, 47, 52, 49, 53, 54, 55, 
  51, 56, 53, 57, 58, 59, 55, 60, 
  57, 61, 62, 63, 59, 64, 61, 65, 
  66, 67, 63, 68, 65, 69, 70, 71, 
  67, 72, 69, 73, 74, 75, 71, 76, 
  73, 77, 78, 79, 75, 80, 77, 81, 
  82, 83, 79, 84, 81, 85, 86, 87, 
  83, 88, 85, 89, 90, 91, 87, 92, 
  89, 93, 94, 95, 91, 96, 93, 97, 
  98, 99, 95, 100, 97, 101, 102, 103, 
  99, 104, 101, 105, 106, 107, 103, 108, 
  105, 109, 110, 111, 107, 112, 109, 113, 
  114, 115, 111, 116, 113, 117, 118, 119, 
  115, 120, 117, 121, 122, 123, 119, 124, 
  121, 125, 126, 127, 123, 128, 125, 129, 
  1, 131, 130, 1, 2, 131, 2, 7, 
  131, 131, 7, 132, 7, 133, 132, 7, 
  11, 133, 11, 15, 133, 133, 15, 134, 
  15, 135, 134, 15, 19, 135, 19, 23, 
  135, 135, 23, 136, 23, 137, 136, 23, 
  27, 137, 27, 31, 137, 137, 31, 138, 
  31, 139, 138, 31, 35, 139, 35, 39, 
  139, 139, 39, 140, 39, 141, 140, 39, 
  43, 141, 43, 47, 141, 141, 47, 142, 
  47, 143, 142, 47, 51, 143, 51, 55, 
  143, 143, 55, 144, 55, 145, 144, 55, 
  59, 145, 59, 63, 145, 145, 63, 146, 
  63, 147, 146, 63, 67, 147, 67, 71, 
  147, 147, 71, 148, 71, 149, 148, 71, 
  75, 149, 75, 79, 149, 149, 79, 150, 
  79, 151, 150, 79, 83, 151, 83, 87, 
  151, 151, 87, 152, 87, 153, 152, 87, 
  91, 153, 91, 95, 153, 153, 95, 154, 
  95, 155, 154, 95, 99, 155, 99, 103, 
  155, 155, 103, 156, 103, 157, 156, 103, 
  107, 157, 107, 111, 157, 157, 111, 158, 
  111, 159, 158, 111, 115, 159, 115, 119, 
  159, 159, 119, 160, 119, 161, 160, 119, 
  123, 161, 123, 127, 161, 161, 127, 162, 
  130, 131, 163, 163, 131, 164, 131, 165, 
  164, 131, 132, 165, 132, 133, 165, 165, 
  133, 166, 133, 167, 166, 133, 134, 167, 
  134, 135, 167, 167, 135, 168, 135, 169, 
  168, 135, 136, 169, 136, 137, 169, 169, 
  137, 170, 137, 171, 170, 137, 138, 171, 
  138, 139, 171, 171, 139, 172, 139, 173, 
  172, 139, 140, 173, 140, 141, 173, 173, 
  141, 174, 141, 175, 174, 141, 142, 175, 
  142, 143, 175, 175, 143, 176, 143, 177, 
  176, 143, 144, 177, 144, 145, 177, 177, 
  145, 178, 145, 179, 178, 145, 146, 179, 
  146, 147, 179, 179, 147, 180, 147, 181, 
  180, 147, 148, 181, 148, 149, 181, 181, 
  149, 182, 149, 183, 182, 149, 150, 183, 
  150, 151, 183, 183, 151, 184, 151, 185, 
  184, 151, 152, 185, 152, 153, 185, 185, 
  153, 186, 153, 187, 186, 153, 154, 187, 
  154, 155, 187, 187, 155, 188, 155, 189, 
  188, 155, 156, 189, 156, 157, 189, 189, 
  157, 190, 157, 191, 190, 157, 158, 191, 
  158, 159, 191, 191, 159, 192, 159, 193, 
  192, 159, 160, 193, 160, 161, 193, 193, 
  161, 194, 161, 195, 194, 161, 162, 195, 
  163, 197, 196, 163, 164, 197, 164, 165, 
  197, 197, 165, 198, 165, 199, 198, 165, 
  166, 199, 166, 167, 199, 199, 167, 200, 
  167, 201, 200, 167, 168, 201, 168, 169, 
  201, 201, 169, 202, 169, 203, 202, 169, 
  170, 203, 170, 171, 203, 203, 171, 204, 
  171, 205, 204, 171, 172, 205, 172, 173, 
  205, 205, 173, 206, 173, 207, 206, 173, 
  174, 207, 174, 175, 207, 207, 175, 208, 
  175, 209, 208, 175, 176, 209, 176, 177, 
  209, 209, 177, 210, 177, 211, 210, 177, 
  178, 211, 178, 179, 211, 211, 179, 212, 
  179, 213, 212, 179, 180, 213, 180, 181, 
  213, 213, 181, 214, 181, 215, 214, 181, 
  182, 215, 182, 183, 215, 215, 183, 216, 
  183, 217, 216, 183, 184, 217, 184, 185, 
  217, 217, 185, 218, 185, 219, 218, 185, 
  186, 219, 186, 187, 219, 219, 187, 220, 
  187, 221, 220, 187, 188, 221, 188, 189, 
  221, 221, 189, 222, 189, 223, 222, 189, 
  190, 223, 190, 191, 223, 223, 191, 224, 
  191, 225, 224, 191, 192, 225, 192, 193, 
  225, 225, 193, 226, 193, 227, 226, 193, 
  194, 227, 194, 195, 227, 227, 195, 228, 
  196, 197, 229, 229, 197, 230, 197, 231, 
  230, 197, 198, 231, 198, 199, 231, 231, 
  199, 232, 199, 233, 232, 199, 200, 233, 
  200, 201, 233, 233, 201, 234, 201, 235, 
  234, 201, 202, 235, 202, 203, 235, 235, 
  203, 236, 203, 237, 236, 203, 204, 237, 
  204, 205, 237, 237, 205, 238, 205, 239, 
  238, 205, 206, 239, 206, 207, 239, 239, 
  207, 240, 207, 241, 240, 207, 208, 241, 
  208, 209, 241, 241, 209, 242, 209, 243, 
  242, 209, 210, 243, 210, 211, 243, 243, 
  211, 244, 211, 245, 244, 211, 212, 245, 
  212, 213, 245, 245, 213, 246, 213, 247, 
  246, 213, 214, 247, 214, 215, 247, 247, 
  215, 248, 215, 249, 248, 215, 216, 249, 
  216, 217, 249, 249, 217, 250, 217, 251, 
  250, 217, 218, 251, 218, 219, 251, 251, 
  219, 252, 219, 253, 252, 219, 220, 253, 
  220, 221, 253, 253, 221, 254, 221, 255, 
  254, 221, 222, 255, 222, 223, 255, 255, 
  223, 256, 223, 257, 256, 223, 224, 257, 
  224, 225, 257, 257, 225, 258, 225, 259, 
  258, 225, 226, 259, 226, 227, 259, 259, 
  227, 260, 227, 261, 260, 227, 228, 261, 
  229, 263, 262, 229, 230, 263, 230, 231, 
  263, 263, 231, 264, 231, 265, 264, 231, 
  232, 265, 232, 233, 265, 265, 233, 266, 
  233, 267, 266, 233, 234, 267, 234, 235, 
  267, 267, 235, 268, 235, 269, 268, 235, 
  236, 269, 236, 237, 269, 269, 237, 270, 
  237, 271, 270, 237, 238, 271, 238, 239, 
  271, 271, 239, 272, 239, 273, 272, 239, 
  240, 273, 240, 241, 273, 273, 241, 274, 
  241, 275, 274, 241, 242, 275, 242, 243, 
  275, 275, 243, 276, 243, 277, 276, 243, 
  244, 277, 244, 245, 277, 277, 245, 278, 
  245, 279, 278, 245, 246, 279, 246, 247, 
  279, 279, 247, 280, 247, 281, 280, 247, 
  248, 281, 248, 249, 281, 281, 249, 282, 
  249, 283, 282, 249, 250, 283, 250, 251, 
  283, 283, 251, 284, 251, 285, 284, 251, 
  252, 285, 252, 253, 285, 285, 253, 286, 
  253, 287, 286, 253, 254, 287, 254, 255, 
  287, 287, 255, 288, 255, 289, 288, 255, 
  256, 289, 256, 257, 289, 289, 257, 290, 
  257, 291, 290, 257, 258, 291, 258, 259, 
  291, 291, 259, 292, 259, 293, 292, 259, 
  260, 293, 260, 261, 293, 293, 261, 294, 
  262, 263, 295, 295, 263, 296, 263, 297, 
  296, 263, 264, 297, 264, 265, 297, 297, 
  265, 298, 265, 299, 298, 265, 266, 299, 
  266, 267, 299, 299, 267, 300, 267, 301, 
  300, 267, 268, 301, 268, 269, 301, 301, 
  269, 302, 269, 303, 302, 269, 270, 303, 
  270, 271, 303, 303, 271, 304, 271, 305, 
  304, 271, 272, 305, 272, 273, 305, 305, 
  273, 306, 273, 307, 306, 273, 274, 307, 
  274, 275, 307, 307, 275, 308, 275, 309, 
  308, 275, 276, 309, 276, 277, 309, 309, 
  277, 310, 277, 311, 310, 277, 278, 311, 
  278, 279, 311, 311, 279, 312, 279, 313, 
  312, 279, 280, 313, 280, 281, 313, 313, 
  281, 314, 281, 315, 314, 281, 282, 315, 
  282, 283, 315, 315, 283, 316, 283, 317, 
  316, 283, 284, 317, 284, 285, 317, 317, 
  285, 318, 285, 319, 318, 285, 286, 319, 
  286, 287, 319, 319, 287, 320, 287, 321, 
  320, 287, 288, 321, 288, 289, 321, 321, 
  289, 322, 289, 323, 322, 289, 290, 323, 
  290, 291, 323, 323, 291, 324, 291, 325, 
  324, 291, 292, 325, 292, 293, 325, 325, 
  293, 326, 293, 327, 326, 293, 294, 327, 
  295, 329, 328, 295, 296, 329, 296, 297, 
  329, 329, 297, 330, 297, 331, 330, 297, 
  298, 331, 298, 299, 331, 331, 299, 332, 
  299, 333, 332, 299, 300, 333, 300, 301, 
  333, 333, 301, 334, 301, 335, 334, 301, 
  302, 335, 302, 303, 335, 335, 303, 336, 
  303, 337, 336, 303, 304, 337, 304, 305, 
  337, 337, 305, 338, 305, 339, 338, 305, 
  306, 339, 306, 307, 339, 339, 307, 340, 
  307, 341, 340, 307, 308, 341, 308, 309, 
  341, 341, 309, 342, 309, 343, 342, 309, 
  310, 343, 310, 311, 343, 343, 311, 344, 
  311, 345, 344, 311, 312, 345, 312, 313, 
  345, 345, 313, 346, 313, 347, 346, 313, 
  314, 347, 314, 315, 347, 347, 315, 348, 
  315, 349, 348, 315, 316, 349, 316, 317, 
  349, 349, 317, 350, 317, 351, 350, 317, 
  318, 351, 318, 319, 351, 351, 319, 352, 
  319, 353, 352, 319, 320, 353, 320, 321, 
  353, 353, 321, 354, 321, 355, 354, 321, 
  322, 355, 322, 323, 355, 355, 323, 356, 
  323, 357, 356, 323, 324, 357, 324, 325, 
  357, 357, 325, 358, 325, 359, 358, 325, 
  326, 359, 326, 327, 359, 359, 327, 360, 
  328, 329, 361, 361, 329, 362, 329, 363, 
  362, 329, 330, 363, 330, 331, 363, 363, 
  331, 364, 331, 365, 364, 331, 332, 365, 
  332, 333, 365, 365, 333, 366, 333, 367, 
  366, 333, 334, 367, 334, 335, 367, 367, 
  335, 368, 335, 369, 368, 335, 336, 369, 
  336, 337, 369, 369, 337, 370, 337, 371, 
  370, 337, 338, 371, 338, 339, 371, 371, 
  339, 372, 339, 373, 372, 339, 340, 373, 
  340, 341, 373, 373, 341, 374, 341, 375, 
  374, 341, 342, 375, 342, 343, 375, 375, 
  343, 376, 343, 377, 376, 343, 344, 377, 
  344, 345, 377, 377, 345, 378, 345, 379, 
  378, 345, 346, 379, 346, 347, 379, 379, 
  347, 380, 347, 381, 380, 347, 348, 381, 
  348, 349, 381, 381, 349, 382, 349, 383, 
  382, 349, 350, 383, 350, 351, 383, 383, 
  351, 384, 351, 385, 384, 351, 352, 385, 
  352, 353, 385, 385, 353, 386, 353, 387, 
  386, 353, 354, 387, 354, 355, 387, 387, 
  355, 388, 355, 389, 388, 355, 356, 389, 
  356, 357, 389, 389, 357, 390, 357, 391, 
  390, 357, 358, 391, 358, 359, 391, 391, 
  359, 392, 359, 393, 392, 359, 360, 393, 
  361, 395, 394, 361, 362, 395, 362, 363, 
  395, 395, 363, 396, 363, 397, 396, 363, 
  364, 397, 364, 365, 397, 397, 365, 398, 
  365, 399, 398, 365, 366, 399, 366, 367, 
  399, 399, 367, 400, 367, 401, 400, 367, 
  368, 401, 368, 369, 401, 401, 369, 402, 
  369, 403, 402, 369, 370, 403, 370, 371, 
  403, 403, 371, 404, 371, 405, 404, 371, 
  372, 405, 372, 373, 405, 405, 373, 406, 
  373, 407, 406, 373, 374, 407, 374, 375, 
  407, 407, 375, 408, 375, 409, 408, 375, 
  376, 409, 376, 377, 409, 409, 377, 410, 
  377, 411, 410, 377, 378, 411, 378, 379, 
  411, 411, 379, 412, 379, 413, 412, 379, 
  380, 413, 380, 381, 413, 413, 381, 414, 
  381, 415, 414, 381, 382, 415, 382, 383, 
  415, 415, 383, 416, 383, 417, 416, 383, 
  384, 417, 384, 385, 417, 417, 385, 418, 
  385, 419, 418, 385, 386, 419, 386, 387, 
  419, 419, 387, 420, 387, 421, 420, 387, 
  388, 421, 388, 389, 421, 421, 389, 422, 
  389, 423, 422, 389, 390, 423, 390, 391, 
  423, 423, 391, 424, 391, 425, 424, 391, 
  392, 425, 392, 393, 425, 425, 393, 426, 
  394, 395, 427, 427, 395, 428, 395, 429, 
  428, 395, 396, 429, 396, 397, 429, 429, 
  397, 430, 397, 431, 430, 397, 398, 431, 
  398, 399, 431, 431, 399, 432, 399, 433, 
  432, 399, 400, 433, 400, 401, 433, 433, 
  401, 434, 401, 435, 434, 401, 402, 435, 
  402, 403, 435, 435, 403, 436, 403, 437, 
  436, 403, 404, 437, 404, 405, 437, 437, 
  405, 438, 405, 439, 438, 405, 406, 439, 
  406, 407, 439, 439, 407, 440, 407, 441, 
  440, 407, 408, 441, 408, 409, 441, 441, 
  409, 442, 409, 443, 442, 409, 410, 443, 
  410, 411, 443, 443, 411, 444, 411, 445, 
  444, 411, 412, 445, 412, 413, 445, 445, 
  413, 446, 413, 447, 446, 413, 414, 447, 
  414, 415, 447, 447, 415, 448, 415, 449, 
  448, 415, 416, 449, 416, 417, 449, 449, 
  417, 450, 417, 451, 450, 417, 418, 451, 
  418, 419, 451, 451, 419, 452, 419, 453, 
  452, 419, 420, 453, 420, 421, 453, 453, 
  421, 454, 421, 455, 454, 421, 422, 455, 
  422, 423, 455, 455, 423, 456, 423, 457, 
  456, 423, 424, 457, 424, 425, 457, 457, 
  425, 458, 425, 459, 458, 425, 426, 459, 
  427, 461, 460, 427, 428, 461, 428, 429, 
  461, 461, 429, 462, 429, 463, 462, 429, 
  430, 463, 430, 431, 463, 463, 431, 464, 
  431, 465, 464, 431, 432, 465, 432, 433, 
  465, 465, 433, 466, 433, 467, 466, 433, 
  434, 467, 434, 435, 467, 467, 435, 468, 
  435, 469, 468, 435, 436, 469, 436, 437, 
  469, 469, 437, 470, 437, 471, 470, 437, 
  438, 471, 438, 439, 471, 471, 439, 472, 
  439, 473, 472, 439, 440, 473, 440, 441, 
  473, 473, 441, 474, 441, 475, 474, 441, 
  442, 475, 442, 443, 475, 475, 443, 476, 
  443, 477, 476, 443, 444, 477, 444, 445, 
  477, 477, 445, 478, 445, 479, 478, 445, 
  446, 479, 446, 447, 479, 479, 447, 480, 
  447, 481, 480, 447, 448, 481, 448, 449, 
  481, 481, 449, 482, 449, 483, 482, 449, 
  450, 483, 450, 451, 483, 483, 451, 484, 
  451, 485, 484, 451, 452, 485, 452, 453, 
  485, 485, 453, 486, 453, 487, 486, 453, 
  454, 487, 454, 455, 487, 487, 455, 488, 
  455, 489, 488, 455, 456, 489, 456, 457, 
  489, 489, 457, 490, 457, 491, 490, 457, 
  458, 491, 458, 459, 491, 491, 459, 492, 
  460, 461, 493, 493, 461, 494, 461, 495, 
  494, 461, 462, 495, 462, 463, 495, 495, 
  463, 496, 463, 497, 496, 463, 464, 497, 
  464, 465, 497, 497, 465, 498, 465, 499, 
  498, 465, 466, 499, 466, 467, 499, 499, 
  467, 500, 467, 501, 500, 467, 468, 501, 
  468, 469, 501, 501, 469, 502, 469, 503, 
  502, 469, 470, 503, 470, 471, 503, 503, 
  471, 504, 471, 505, 504, 471, 472, 505, 
  472, 473, 505, 505, 473, 506, 473, 507, 
  506, 473, 474, 507, 474, 475, 507, 507, 
  475, 508, 475, 509, 508, 475, 476, 509, 
  476, 477, 509, 509, 477, 510, 477, 511, 
  510, 477, 478, 511, 478, 479, 511, 511, 
  479, 512, 479, 513, 512, 479, 480, 513, 
  480, 481, 513, 513, 481, 514, 481, 515, 
  514, 481, 482, 515, 482, 483, 515, 515, 
  483, 516, 483, 517, 516, 483, 484, 517, 
  484, 485, 517, 517, 485, 518, 485, 519, 
  518, 485, 486, 519, 486, 487, 519, 519, 
  487, 520, 487, 521, 520, 487, 488, 521, 
  488, 489, 521, 521, 489, 522, 489, 523, 
  522, 489, 490, 523, 490, 491, 523, 523, 
  491, 524, 491, 525, 524, 491, 492, 525, 
  493, 527, 526, 493, 494, 527, 494, 495, 
  527, 527, 495, 528, 495, 529, 528, 495, 
  496, 529, 496, 497, 529, 529, 497, 530, 
  497, 531, 530, 497, 498, 531, 498, 499, 
  531, 531, 499, 532, 499, 533, 532, 499, 
  500, 533, 500, 501, 533, 533, 501, 534, 
  501, 535, 534, 501, 502, 535, 502, 503, 
  535, 535, 503, 536, 503, 537, 536, 503, 
  504, 537, 504, 505, 537, 537, 505, 538, 
  505, 539, 538, 505, 506, 539, 506, 507, 
  539, 539, 507, 540, 507, 541, 540, 507, 
  508, 541, 508, 509, 541, 541, 509, 542, 
  509, 543, 542, 509, 510, 543, 510, 511, 
  543, 543, 511, 544, 511, 545, 544, 511, 
  512, 545, 512, 513, 545, 545, 513, 546, 
  513, 547, 546, 513, 514, 547, 514, 515, 
  547, 547, 515, 548, 515, 549, 548, 515, 
  516, 549, 516, 517, 549, 549, 517, 550, 
  517, 551, 550, 517, 518, 551, 518, 519, 
  551, 551, 519, 552, 519, 553, 552, 519, 
  520, 553, 520, 521, 553, 553, 521, 554, 
  521, 555, 554, 521, 522, 555, 522, 523, 
  555, 555, 523, 556, 523, 557, 556, 523, 
  524, 557, 524, 525, 557, 557, 525, 558, 
  526, 527, 5, 5, 527, 4, 527, 9, 
  4, 527, 528, 9, 528, 529, 9, 9, 
  529, 13, 529, 17, 13, 529, 530, 17, 
  530, 531, 17, 17, 531, 21, 531, 25, 
  21, 531, 532, 25, 532, 533, 25, 25, 
  533, 29, 533, 33, 29, 533, 534, 33, 
  534, 535, 33, 33, 535, 37, 535, 41, 
  37, 535, 536, 41, 536, 537, 41, 41, 
  537, 45, 537, 49, 45, 537, 538, 49, 
  538, 539, 49, 49, 539, 53, 539, 57, 
  53, 539, 540, 57, 540, 541, 57, 57, 
  541, 61, 541, 65, 61, 541, 542, 65, 
  542, 543, 65, 65, 543, 69, 543, 73, 
  69, 543, 544, 73, 544, 545, 73, 73, 
  545, 77, 545, 81, 77, 545, 546, 81, 
  546, 547, 81, 81, 547, 85, 547, 89, 
  85, 547, 548, 89, 548, 549, 89, 89, 
  549, 93, 549, 97, 93, 549, 550, 97, 
  550, 551, 97, 97, 551, 101, 551, 105, 
  101, 551, 552, 105, 552, 553, 105, 105, 
  553, 109, 553, 113, 109, 553, 554, 113, 
  554, 555, 113, 113, 555, 117, 555, 121, 
  117, 555, 556, 121, 556, 557, 121, 121, 
  557, 125, 557, 129, 125, 557, 558, 129, 
};
#endif
